43 citations · 382 across the 27 of their papers we have counts for
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cond-mat.stat-mech2009★ 40 cited
Queueing process with excluded-volume effect
Chikashi Arita
We introduce an extension of the M/M/1 queueing process with a spatial structure and excluded- volume effect. The rule of particle hopping is the same as for the totally asymmetric…
math-ph2009★ 43 cited
Spectrum in multi-species asymmetric simple exclusion process on a ring
Chikashi Arita, Atsuo Kuniba, Kazumitsu Sakai +1
The spectrum of Hamiltonian (Markov matrix) of a multi-species asymmetric simple exclusion process on a ring is studied. The dynamical exponent concerning the relaxation time is fo…